MTH 101 CBT Practice Questions and Answers

1) Let the universal set U={1,2,3,4,5,6,7,8,9}
A,B and C are subsets of the universal sets defined as

A= {1,2,3,4}.  B={1,3,5,7}.   C={3,7,9}
Find AnBnC

2) In how many ways can four boys be choosen from 6 boys ?

3) Let the universal set U={1,2,3,4,5,6,7,8,9}
A,B and C are subsets of the universal sets defined as

A= {1,2,3,4}.  B={1,3,5,7}.   C={3,7,9}
What is the cardinality of (AUBUC) ?

4) if 1/2 and 3/2 are the roots of an equation, for the equation

5) Find the number of ways of arranging 4 different conical flasks from 6 conical flasks

6) Express 2√5 + 5√2 divided by 2√5 - 5√2 in the form of q+r√s where q,r and s are rational numbers

7) Find the exact value of (1.01)*5 using the binomial expansion

8) Find the minimum value of y=3x*2 -2x +1

9) Find the sum of the infinite geometric series -1/2 + 1/16 -1/128 + ,......

10) N= {x:x=1,2,3,4,.....}

The above is a _____

11) Two polynomial are

f(x)= 2x*5 -3x*4 +5x*3 -7x*2 +1  and

g(x) =-5x*5 +3x*4 +3x*3 -5x*2 +6x -7

find 2f(x) -3g(x)

12) Find X if |x+1|=5

13) In how many ways can 8 objects be arranged from 10 objects?

14) X U X = X denotes ______

15) Given f(x) = 2x*3 -3x*2 -5x +1

what will be the remainder when f(x) is divided by (x-3) ?

16) Solve the simultaneous equation

3*x = 9y ....................(i)

4*xy=2*x+2 ................(ii)

17) Given the universal set U={1,2,3,4,7,11,13,17,19} and A={1,3,7,11,17}
Then A*1 i.e Prime of A = ______

18) Convert π/4radians to degrees

19) Solve by factoring 1/x + 3 = 2/x+2

20) For what values of x are both inequalities true ?

3+x>0        and      3-x>0

21) Evaluate tan 5π /4

22) Find the sum of the first 8 terms of 1,-1/2,1/4,-1/8,1/16,.....

23) Evaluate (81)*-1/4  X   (1024)*1/10

24) In how many ways cab a team of 11 players be selected from 14 boys ?

25) 30C3= ?

26) Solve the equation 2x*2 + 7x - 4 = 0

27) tan 45 degrees is equivalent to ____

28) x U u = u       and.    x U u =x

The above denotes _____

29) Find the nth term of the arithmetic sequence 7,2,-3,-8

30) Resolve 3x / (x+)(x-2) into partial fractions

31) Find the 8th term of the geometry sequence 8,4,2,.....

32) Z={x:x=...,-4,-3,-2,-1,0,1,2,3,4...}

The above is a _____

33) Let the universal set U={1,2,3,4,5,6,7,8,9}
A,B and C are subsets of the universal sets defined as

A= {1,2,3,4}.  B={1,3,5,7}.   C={3,7,9}
Find AUBUC

34) Express y in terms of x

log3(y-1)=x          i.e log(y-1) in base 3 =x

35) Evaluate 3√9 X 6√9

36) If α and β are the roots of the equation 3x*2 -x -5=0

find α +β

37) Find the sum of the first 10 terms of 4,6,9,.....

38) Express 2i(1-3i) + 3(4-i) in the form a+ib

39) If g(x) = 2x*2 -x -4 and h(x)= x*2 +x -1

find the product of g(x) and h(x)

40) Find the value of 17! / 8!10!

41) In a group of 70 students, 37 like chemistry,52 like physics and each students likes at least one of the courses

How many students like both courses?

42) Given f(x) = 2x*3 -3x*2 -5x +1

what will be the remainder when f(x) is divided by (2x-5) ?

43) Find the number of arrangements which can be made by using the letter of the word “NIGERIAN”

44) Express 2π/5 in degrees

45) Find the maximum value of 6x -9 -x*2

46) Find the common difference between successive terms of the arithmetic sequence for which the first term is 5 and 32nd term is -119

47) If α and β are the roots of the equation 3x*2 -x -5=0

find αβ

48) Find the modulus of (1+i)(2+i) / 3-i

49) Cayley-Hamilton theorem states that every matrix is a root of its _____polynomial

50) Express (3+i)(4-21) in the form a+ib